An autonomous Kirchhoff-type equation with general nonlinearity in \(\mathbb{R}^N\)

DOI10.1016/j.nonrwa.2016.09.003zbMath1355.35058arXiv1510.07231OpenAlexW1865402809MaRDI QIDQ332374

Sheng-Sen Lu

Publication date: 8 November 2016

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.07231

zbMATH Keywords

ground statemultiplicity of solutionsKirchhoff-type equation

Mathematics Subject Classification ID

Variational methods for second-order elliptic equations (35J20)

Related Items

Solutions of the autonomous Kirchhoff type equations in \(\mathbb{R}^N\), Existence and asymptotic behavior of vector solutions for coupled nonlinear Kirchhoff-type systems, Positive solutions for some classes of stationary Kirchhoff equations, On the Kirchhoff equation with prescribed mass and general nonlinearities, Asymptotic profiles for a nonlinear Kirchhoff equation with combined powers nonlinearity, Existence and non-existence results for quasilinear Kirchhoff problems with the Hardy-Sobolev exponent, Nodal solutions for a Kirchhoff type problem in \(\mathbb{R}^N\), SOLUTIONS FOR THE KIRCHHOFF TYPE EQUATIONS WITH FRACTIONAL LAPLACIAN, Nonlinear scalar field equations with general nonlinearity, A study on the critical Kirchhoff problem in high-dimensional space, Berestycki-Lions conditions on ground state solutions for Kirchhoff-type problems with variable potentials

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